Designation: Associate Professor
Qualification: Ph.D.
Area of Interest: Queuing Theory
Phone No: 9406587830
E-Mail:
Dr. J.K. Muthele
- About Faculty: Dr. Jitendra Kumar received the M.Sc and M. Phil degree in Mathematics from Bundelkhand University, Jhansi and Jiwaji University, Gwalior in 1998 and 2003 respectively. He has qualified GATE-2006. He has received Ph. D. from RGPV, Bhopal in 2020. He is working as a Assistant Professor in the department of Engineering Mathematics & Computing, Madhav Institute of Technology and Science, Gwalior since 2007, and his research interests Queueing Theory and its Models. He has published 23 research papers in reputed international / National Journals. He is member of The Vijnana Parishad of India, International Association Engineers and Indian Mathematical Society.
- Work Experience:
He is working as a Assistant Professor of Mathematics in the Department of Engineering Mathematics & Computing, Madhav Institute of Technology and Science , Gwalior since Oct. 2007 to till now.
- Workshop/Conference/Organized/Attended:
Attended STTC/SDP/FDP: 26
- Two-Week Faculty Development Program on Data Science and Scientific Computing, held on 3- 16 Jan. -2024, jointly organized by Central University of Punjab, Bathinda, Punjab, and Dr. B. R. Ambedkar National Institute of Technology, Jalandhar and Mizan- Tepi University, Ethiopia with collaboration Baba Farid College, Bathinda & MathTech Thinking Foundation, India.
- Workshop on “MATLAB Tutorial Series -2023” held on Jan.–August 2023, jointly organized by MathTech Thinking Foundation FZK, Punjab
- Two Weeks REFRESHER COURSE IN MATHEMATICS (Theme: Python & Vedic Mathematics; held on 13- 26 July 2023, jointly organized by Teaching Learning Centre & Department of Mathematics, Ramanujan College, University of Delhi & Ministry of Education, Pandit Madan Mohan Malaviya National Misson of Teachers and Teaching, Department of Mathematics, Sri Jayachamarajendra College of Engineering & JSS Science and Technology University, Mysuru.
- One Week FDP on “ Data Science and Statistical Modeling: Harnessing Python and R- Programming: held on 28 June- 2023 to 04 July 2023, jointly organized by Central University of Punjab, Bathinda, Punjab and Dr. B. R. Ambedkar National Institute of Technology, Jalandhar and Mizan- Tepi University, Ethiopia with collaboration Baba Farid College, Bathinda & MathTech Thinking Foundation, India.
- Two Week FDP on “Data Analytics for Advanced Research using R and Tableau”, held on May 01 2023 to May 10, 2023, Sponsored by the Ministry of Electronics and Information Technology, GoI organized by E & ICT Academy, NIT Warangal and GITAM School of Business Hyderabad, India.
- Two Week International FDP on “ R- Programming for Data Science”, held on April 24, 2023, to May 07, 2023, organized by Mizan- Tepi University, Ethiopia in collaboration with Poornima University, Jaipur, India, Baba Farid College, Bathinda & MathTech Thinking Foundation, India.
- One Week FDP on “Modern Cryptography, Blockchain & IoT Security: Challenges, Solution and Future Prospects (MCB-IoTs)-2021” from 23rd to 27th March 2021 organized by RGPV, under TEQIP-III in association with the Department of Computer Science Engineering, UIT-RGPV & IEEE Student Branch, RGPV, Bhopal.
- One Week Faculty Development Programme through online mode on LATEX & SciLab, held from 9th June 2020 to 15th June 2020, organized by Department of Mathematics, University of Rajasthan, Jaipur.
- One week e-STTP on “Computational Intelligence and its Applications” -2020, under TEQIP-III held on 19-23 October 2020 organized by Department of Electrical Engineering and Department of Management Studies Engineering College, Ajmer.
- One-week online Faculty Development Programme on “Matlab Applications in Engineering and Science” under TEQIP phase III held from 27th April 2020 to 01st May 2020, organized by Civil Engineering Department, Govt. College of Engineering, Karad & Rajkiya College of Engineering, Azamgarh, India.
- STTP on “MATLAB and Simulink Fundamentals” under TEQIP-III held on 28 Jan. 2019 to 01 Feb. 2019 organized by NITTTR, Kolkata.
- STC on “Assuring Global Quality in Technology Education through Outcome Based Education” under AICTE –QIP held on March 1- 14, 2018 organized by Madhav Institute of Technology & Science, Gwalior under Internal Quality Assurance Cell (IQAC), MITS, Gwalior.
- STP on “Active Learning for Senior Faculty” under TEQIP-II held on 18 June to 22 June 2018 organized by IIT Indore, Indore.
- Faculty Development Programme on Fractional Calculus and its Applications in Engineering held from 27-31, January 2018. The Programme was sponsored by RGPV Bhopal, under TEQIP – III organized by Department of Mathematics & Engineering, Rustamji Institute of Technology, Gwalior (M. P.).
- STC on “Writing Academic Publications” under TEQIP-II held on March 16-18 2017 organized by IIT Gandhinagar, Gujarat.
- STTP on “Applications of Optimization Techniques for engineering & Technology” under TEQIP II held on Nov. 23th – 27th 2015 organized by Department of Applied Science, Madhav Institute of Technology & Science, Gwalior.
- Faculty Development Programme in Entrepreneurship Development (TTTP) held from 02-14, January 2016. The Programme was sponsored by NSTEDB & DST Govt. of India, New Delhi, in under EDC, Madhav Institute of Technology & Science, Gwalior.
- STC on “Mathematical Analysis & Applications” under QIP held on 04/07/2016 -08/07/2016 organized by Department of Mathematics IIT Roorkee.
- Faculty Development Programme in Entrepreneurship Development (TTTP) held from 16-28, April 2012. The Programme was sponsored by NSTEDB & DST Govt. of India, New Delhi, in under EDC, Madhav Institute of Technology & Science, Gwalior.
- STTP on Finite Element Modeling with MATLAB under TEQIP II during 6th to 10th May 2013 at Department of Mathematics at MANIT, Bhopal (M.P.).
- STTP on Research Methodology under TEQIP II held on Nov. 11th – 15th 2013 organized by Madhav Institute of Technology & Science, Gwalior.
- STTP on Nature Inspired Optimization Techniques for Engineering Applications under TEQIP II held on Dec. 2th – 6th , 2013 organized by Department of Electrical Engineering, Madhav Institute of Technology & Science, Gwalior.
- Pedagogical Approaches in Technical Education” under TEQIP held on 3rd – 8th May 2014 organized by ABV – IIITM, Gwalior (M.P.).
- AICTE Sponsored SDP “Matlab & Simulink Based Technical Programming and Simulation in Teaching & Research” from 13th – 25th June 2011 at Department of Electronics & Instrumentation Engineering, ITM, Gwalior.
- AICTE Sponsored SDP on “Evolutionary Computing Techniques for Numerical & Engineering Optimization” from 12 Dec. to 23 Dec. 2011 in the Department of Electrical Engineering, Madhav Institute of Technology & Science, Gwalior.
- Faculty Development Programmer in Entrepreneurship Development held from 10-24 Jan. 2009 in under EDC, Madhav Institute of Technology & Science, Gwalior.
- Attended Conferences / Workshops: 28
1. Workshop on Patent Awareness (PAT) held from 28 July 2003, Bundelkhand, University, Jhansi (U.P.).
2. 11th Annul Conference of VIJANA PRISHAD of INDIA (VPI), Mathematical Modeling Real Life Problems & Computer Applications held from 12-15 May 2005, Anand Engineering College, Agra (U. P.).
3. Workshop on Bio- Informatics & Bio-Mathematics held from 14-16 Jan. 2006 Jiwaji University, Gwalior (M.P.).
4. A National Seminar on Emerging Areas in Science & Technology held from 4-7 Nov. 2006, Shri Rawatpura Sarkar Institute of Technology & Science, Datia M. P.
5. Recent Advances in Microwave engineering held from 6-7 Feb. 2008, in MITS, Gwalior
6. National Workshop on Quality Management in Technology Education held on 6&7 March 2009 in Madhav Institute of Technology & Science, Gwalior.
7. Sponsored by UGC, New Delhi, “Workshop on Mathematical & Computational Sciences” held on 3 March 2011 at Department of Mathematical Sciences & Computer Applications, Bundelkhand University, Jhansi.
8. Workshop “Workshop on SPSS” Dept. of Mathematics & Computer Applications at Maulana Azad National Institute of Technology, Bhopal from 2 – 3 Feb. 2012.
9. Workshop on “Emerging Trends in Material for Engineering Applications”, Under TEQIP Phase II, Organized by the Department of Applied Science, MITS, Gwalior, on August 09, 2014.
10. National Conference On Advances in Mathematical Applications For Engineering & Technology under TEQIP Phase-II Organized by the Department of Applied Science, MITS, Gwalior, on 20 – 21, 2014.
11. National Seminar on “Chemistry for Life”, under TEQIP II, Organized by the Department of Applied Science, MITS, Gwalior, on February 28, 2015.
12. National workshop on “ Innovations in Teaching & Research Methods” under QIP, Organized by Department of Computer Application & Mechanical Engineering on 25-26 March, 2015.
13. National workshop on “Application of Matlab in Electrical Engineering” under TEQIP phase II, organized by Department of Electrical Engineering, MITS, Gwalior, on 14-15 October 2015.
14. National Workshop on “Quality in Technical Education A Challenge” under TEQIP phase II, organized by Madhav Institute of Technology & Science, Gwalior, on 18-19 November 2016.
15. National workshop on “Intellectual Property Rights and Patents” under TEQIP phase II, in Association with IET Student Chapter, organized by Madhav Institute of Technology & Science, Gwalior, on 04 Feb. 2017.
16. Workshop on Scientific and Technical Terminology in Science and Technology, under CSTT held on 29 -30 Nov. 2017 by Amity University, Madhya Pradesh, and Gwalior.
17. Workshop on Effective Techniques of Question Paper Setting: An Outcome Based Education Approach held on 7 -8th February, 2018 organized by Madhav Institute of Technology & Science, Gwalior under Internal Quality Assurance Cell (IQAC), MITS, Gwalior and sponsored by TEQIP –III.
18. Workshop on “Energy Audit & Management”, under TEQIP-III held on 29 September 2018 organized by Department of Electrical Engineering, MITS, Gwalior.
19. Two days’ Workshop on “Advanced Optimization Techniques and Research Directions”, under TEQIP-III held on 16-17 Nov. 2018 organized by Department of Electrical Engineering, MITS, Gwalior.
20. International Conference on New Frontiers in Mathematics and Symposia on I- Function and its Applications & Mathematics in Data Science held on Dec. 11-13, 2018 at School of Mathematics and Allied Sciences, Jiwaji University, Gwalior (M. P) INDIA.
21. Two days In-house Workshop on Bloom’s Taxonomy for Assessment Design, under TEQIP-III held on 13 – 14 August 2019, organized by IQAC, MITS, Gwalior.
22. Two days International Workshop on “Numerical Methods in Scientific Computing” (IWNMSC-2020), held on 21-22 February 2020, organized by South Asian University, New Delhi, India.
23. One day online National Workshop on “Role and Challenges of Science Technology in Current Pandemic Situation” under TEQIP phase III held on 23 May 2020, organized by Madhav Institute of Technology & Science, Gwalior.
24. Online National Workshop “Transition from traditional to blended learning: Challenges & Opportunities-I ”, held on 23 Jan. -2021, organized by IQAC-Madhav Institute of Technology and Science, Gwalior & Manav Rachna University, Faridabad, Haryana.
25. Online National Workshop “Transition from traditional to blended learning: Challenges & Opportunities-I I”, held on 30 Jan. -2021, organized by IQAC-Madhav Institute of Technology and Science, Gwalior & Manav Rachna University, Faridabad, Haryana
26. One day E-Workshop “How to Write Research Paper in Latex”, held on 26 June-2021, organized by Department of Applied Science, SIRT, Bhopal.
27. National Five day’s lecture series on ‘’ANVESHAN” held on 20/12/2021 to 24/12/ 2021, organized by Department of Mathematics, SRMS College of Engineering & Technology, Bareilly, UP, India.
28. Two day online Workshop on “Python Programming for Data Science”, held on 2-3 July, 2021organized by Department of Engineering Mathematics, Madhav Institute of Technology and Science, Gwalior
Organized Conferences / Workshops/SDP/FDP:
S. No.
Title
During
Department
Status
1
Emerging Trends in Material for Engineering Applications
9 August 2014
Applied Science
Member
2
Advances in Mathematical Applications For Engineering & Technology
20-21, Dec. 2014
Applied Science
Organizing Secretary
3
National Seminar on “Chemistry for Life”,
28 Feb. 2015
Applied Science
Member
4
Applications of Optimization Techniques for engineering & Technology
23- 27 Nov. 2015
Applied Science
Organizing Secretary
5
Research Methodology & R Programming
31-Aug.–01 Sept. 2019
Applied Science
Organizing Secretary
- Publications:
List of publications:
Published Research Paper:
- Kumar Jitendra, Shinde Vikas, Dilip Kumar Mishra and Rahul Jha (2023): Comparative Analysis of Queueing Model and Artificial Neural Networks for OPD Patients, Tuijin Jishu/Journal of Propulsion Technology, Vol. 44 (5), pp. 3142-3153, ISSN: 1001-4055, https://doi.org/10.52783/tjjpt.v44.i5.3193.
- Shahjad Ali , Manish Baboo Agarwal , Sitaram Verma , Raisul Islam , Rajesh Kumar Deolia, Shailendra Singh, Jitendra Kumar, Ali Akbar Mohammadi, Manoj Kumar Gupta, Mehdi Fattahi P. U. Nguyen (2023): Variability of groundwater fluoride and its proportionate risk quantification via Monte Carlo simulation in rural and urban areas of Agra district, India, Scientific Reports, Nature Article number: 18971, Vol. 13, pp. 1-13, https://doi.org/10.1038/s41598-023-46197-7.
- Kumar Jitendra and Shinde Vikas (2022): STUDY OF PRODUCTION SYSTEM AND REPAIR SYSTEM WITH MAINTENANCE POLICY, Advances and Applications in Mathematical Sciences, Vol. 21(12), pp. 6871-6885, ISBN- 0974-6803, Mili Publications.
- Praveen Kumar, Anil Kumar Gorantla, Jitendra Kumar and Kanaka Durga Surapaneni (2023): SERVICE QUALITY, SATISFACTION AND LOYALTY ON ONLINE MARKETING: AN EMPIRICAL INVESTIGATION, Journal of the Asiatic Society of Mumbai, Vol. 97(10) I, pp. 105-117, ISSN: 0972-0766.
- Kumar Jitendra and Shinde Vikas (2023): Evaluation of Optimize Cost of Cloud Computing Systems using Queueing Model, Mukt Shabd Journal, Vol.12 (6), pp. 450-459, ISBN- 2347-3150, DOI: 10.0014.MSJ.2023.V12I06.0086781.1143949
- Kumar Jitendra and Shinde Vikas (2020): PERFORMANCE OF BULK QUEUE UNDER VACATION AND INTERRUPTION, Advances and Applications in Mathematical Sciences, Vol. 19(10), pp. 969-986, ISBN- 0974-6803, Mili Publication.
- Kumar Jitendra and Shinde Vikas (2020): COMPUTATIONAL PERFORMANCE OD SERVER USING THE Mx/M/1 QUEUE MODEL, Mathematical Analysis II: Optimisation, Differential Equations, and Graph Theory, Vol. 307, pp. 51-66, ISBN- 978-981-15-1157-8 (eBook), Springer nature Singapore Pte Lid. (01/01/2020)
- Kumar Jitendra and Shinde Vikas (2019): IDENTIFYING OPTIMAL PATH TO BOOST PERFORMANCE OF DISTRIBUTION CHAIN SYSTEM USING QUEUEING MODEL, Computational Network Application Tools for Performance Management, Springer Nature Singapore Pte Lid. pp. 181-212, (2019), ISSN 2522-5162.
- Kumar Jitendra and Shinde Vikas (2019): STUDY OF TRAFIC CONGESTION FLOW USING QUEUEING MODEL" JNANABHA, Vol. 49(1), ISSN: 2455-7463 pp. 11-25, 2019 (June).
- Kumar Jitendra and Shinde Vikas (2018): PERFORMANCE EVALUATION BULK ARRIVAL AND BULK SERVICE WITH MULTI SERVER USING QUEUE MODEL, International Journal of Research in Advent Technology, Vol. 6(11), pp. 3069-3076, Nov. 2018, E-ISSN: 2321-9637.
- Kumar Jitendra and Shinde Vikas (2017): ENHANCE NON-HOMOGENEOUS POISSON PROCESS MODELS INCORPORATING TESTING EFFORT WITH COVERAGE FUNCTION, Journal of Statistics and Management Systems, Vol. 20(3), pp. 297-308, Taylor & Francis, ISSN- 0973-7359, DOI: 10.1080/09720510.2017.1296120 (May 2017).
- Kumar Jitendra, Shinde Vikas and Santosh Baradwaj (2017): SALE CHECKOUT OPERATION IN BIG BAZAAR USING QUEUING MODEL, International Journal of Mathematical Archive, ISSN 2229 – 5046, Vol. 8, Issue 7, pp. 281 – 287.
- Kumar Jitendra, Shinde Vikas and Mukta Karla (2017): AVAILABILITY AND RELIABILITY ANALYSIS OF COMPUTER SYSTEMS, International Journal of Control Theory and Applications, ISSN 0974-5572, Vol. 10(8), pp 266-275.
- Kumar Jitendra and Vikas Shinde, (2016), STUDY OF INDUSTRIAL MODEL FOR FIVE INPUT, FIVE STAGES QUEUEING NETWORKS, Optimal Inventory Control and Management Techniques, published by IGI Global, USA, IBNS: 10.4018/978-1-4666-9888-8.cho15, pp. 300-339.
- Kumar Jitendra and Vikas Shinde, (2016), A COMPARATIVE STUDY OF MEAN VALUE ANALYSIS AND CONVOLUTION ALGORITHM USING QUEUEING NETWORKS, International Journal of Computational Intelligence and Informatics (IJCII), ISSN 2231-0258, Vol. 6(1), pp 8-17.
- Kumar Jitendra, Shinde Vikas and B. B. Singh, (2012): MX /G/1 QUEUE MODEL FOR DISCRETE TIME MULTI-SERVER AND DETERMINISTIC SERVICE TIME, Journal of Reflections des ERA, (India), ISSN 0973-4597, Vol. No. 7(1), pp 33-44.
- Kumar Jitendra, Shinde Vikas and B.B. Singh, (2011): ANALYSIS OF STEADY-STATE SOLUTION OF M/M(a,b)/1 WITH QUEUEING SYSTEM, International Journal of Operations Research and Optimization, ISSN 2237-4741 Vol. 2 (1), pp 53-62.
- Kumar Jitendra, Shinde Vikas and Singh, B. B. (2011), ANALYSIS OF THE M/M/1 QUEUE MODEL WITH MULTIPLE VACATIONS AND SERVER BREAK-DOWN, Journal of International Academy of Physical Sciences (IAPS), Allahabad, (India), ISSN 0974-9373, Vol. No. 15(3), pp 291-302.
- Kumar Jitendra, Shinde Vikas, BB Singh and Kumar Avanish, (2010): ANALYSIS OF PERFORMANCE MEASURE OF MULTI-SERVER BASED ON QUEUE LENGTH AND WAITING TIME, Journal of GANITA SANDESH, (India), ISSN 0970-9169, Vol. No. 24(2), pp127-134.
- Kumar Jitendra, Shinde Vikas and Angad S. Ojha, (2010): MATHEMATICAL ANALYSIS OF PARKING MANAGEMENT STRATEGIES FOR GWALIOR, Journal of Computer and Mathematics Science (JCMS), ISSN 0976-5727/2319-8133, Impact Factor 4.655, Vol. 1(7), pp 801-808.
- Kumar Jitendra, Shinde Vikas and Kumar Avanish, (2009): ANALYSIS OF M/M/C QUEUEN MODEL UNDER N-POLICY, Journal of Computer and Mathematics Science (JCMS), ISSN 0976-5727/2319-8133, Impact Factor 4.655, Vol. 1(1), pp 27-32.
Proceeding of Research Paper:
- Kumar Jitendra and Shinde Vikas (2020): EXPLORING THE OPTIMAL PATH FOR SUPPLY CHAIN SYSTEM USING QUEUEING MODEL, Proceeding in Adaption, Learning and Optimization, Intelligent Computing Applications for Sustainable Real- World, ISSN 2363-6092 & ISBN 978-3-030-44758-8, Vol. 13 pp. 185-208.
- Kumar Jitendra and Shinde Vikas (2018): CALL ADMISSION CONTROL SCHEME FOR CELLULAR WIRELESS NETWORK USING QUEUEING MODEL, proceeding in CCIS 899 (Computer and Network Technologies) page 117-129, (2018) by Springer Nature, Singapore Pvt. Ltd. https://doi.org/10.1007/978-981-13-2035-4_11.
- Kumar Jitendra and Shinde Vikas, (2017): PERFORMANCE EVALUATION OF QUEUEING NETWORK, Proceedings of the 11th INDIACom; INDIACom-2016, IEEE, Conference ID- 37465 2016, 4th International Conference on “Computing for Sustainable Global Development”, 01st – 03rd March 2017, Bharati Vidyapeeth’s Institute of Computer Applications and Management (BVICAM), New Delhi (INDIA), ISSN:0973-7529, IBNS: 978-93-80544-24-3 pp. 1101-1106.
- Kumar Jitendra and Shinde Vikas, (2016): PERFORMANCE ANALYSIS OF QUEUEING MODEL USING SUPPLY CHAIN MANAGEMENT, Proceedings of the 10th INDIACom; INDIACom-2016, IEEE, Conference ID- 37465 2016, 3rd International Conference on “Computing for Sustainable Global Development”, 16th – 18th March 2016, Bharati Vidyapeeth’s Institute of Computer Applications and Management (BVICAM), New Delhi (INDIA), ISSN:0973-7529, IBNS: 978-93-80544-20-5 pp. 3882-3888.
- Kumar Jitendra and Shinde Vikas, (2013): QUEUEING MODEL TO ANALYZE THE SUPERMARKET, Proceeding of NCRTOR – 2013, PP 30-34.
- Kumar Jitendra and Shinde Vikas, (2011): TRANSIENT SOLUTION OF MULTI SERVER BATCH ARRIVAL POISSON QUEUE WITH N- POLICY, Proceeding of AMOC – 2011, pp 623-629.
- Kumar Jitendra, Shinde Vikas and Kumar Avanish, (2009): TRAFFIC ANALYSIS AND MOBILE NETWORKS UNDER QUEUEING SYSTEM WITH MULTI-SERVER, Proceeding of Recent Trends in Mathematics and its Applications, pp- 180-190.
- Complete Resume:
Dr. Jitendra Kumar Muthele
Assistant Professor (Mathematics)
Official address : Department of Engineering Mathematics & Computing,
Madhav Institute of Technology & Science (MITS),
(An Autonomous Institute under RGPV Bhopal)
Near Gole ka Mandir, Gwalior (M. P) INDIA
Pin Code 474005, Tel: +9188711-68074
Address : C/o Mr Mahesh Kumar Muthele,
97/10, Railway Colony, Near Loco, GWALIOR - 474005
Contact: (91) -9406587830
Email:
This email address is being protected from spambots. You need JavaScript enabled to view it. mitsgwalior.inPublications:
Book Chapter Published: 01
Paper Publications in the Journals: 21
Proceeding of Research Paper: -07
Attend SDP/Short Term Training Programmes: 26
Completed NPTEL/SWAYAM/MOOC Training Programmes: 05
Attended Seminar/Conferences /Workshops/Symposia: 41
Paper Presented in the Conferences: 22
Organized as Secretary/ Co-convenor/ Seminar/Conferences/workshops/FDP: 05
Regular Teaching Experience: 16 Years
Education:
1996 Second Division Graduation Bachelor of Science (B.Sc.)
1998 First Division Post Graduation Master of Science (M.Sc. Mathematics)
2003 Second Division Master of Philosophy (M.Phil. Mathematics)
2006 GATE All India Rank 709.
2020 Ph.D. Awarded Ph. D in Mathematics from RGVP, Bhopal (M.P) *Topic:” PERFORMANCE ANALYSIS OF SOME QUEUEING Models”
Areas of Expertise:
- Special Functions,
- Numerical Analysis
- Differential Equation and Partial Differential Equation etc.
- Probability and Distributions
- Queueing theory
Administrative Service/ Extra Curricular Activities:
- Member of BOS since 2010, Mathematics at Madhav Institute of Technology & Science (MITS), Gwalior .
Memberships:
- The Vijnana Parishad of India (LM)
- International Association Engineers (LM)
- Indian Mathematical Society (LM)
- Operation Research Society of India (LM)
- Math Tech Thanking Foundation (MTTF) (LM)