GATE MN 2027 | MMT-11 Mock Test L-3 | PERT/CPM & Advanced EOQ Numerical | By Vaishnavi Ma'am

Welcome to Lecture 3 of the MMT-11 Mock Test Discussion for the GATE MN 2027 Exam, presented by Vaishnavi Ma'am! This session tackles complex, high-yield Operations Research and Industrial Engineering numerical, providing step-by-step methodologies to secure top marks in GATE Mining. The lecture begins with advanced Inventory Management, specifically the Economic Production Quantity (EPQ) model. You will learn how to handle scenarios where the production rate exceeds demand, calculating Maximum Inventory Levels, No-Production Time, and the exact Cycle Time ($\text{Total Demand} / Q^*$).Next, we dive into Project Management (PERT/CPM), solving a probability-based PERT problem using Z-scores and Normal Distribution graphs to determine the exact probability of completing a project within a strict deadline. The session then explores Queueing Theory, adjusting Arrival Rates ($\lambda$) and Service Rates ($\mu$) to find average waiting times during a supply shortage. Finally, Vaishnavi Ma'am provides a masterclass on solving Transportation & Assignment Problems using the North-West Corner Method, Vogel's Approximation Method, and the Hungarian Method for minimizing project costs and time. 🕒 Video Chapters / Timestamps: [00:04] Inventory Management: Economic Production Quantity (EPQ) models [01:53] Calculating EPQ using the Demand-Production ratio: $2DS/H \times [1 - (D/P)]$ [03:01] Calculating Maximum Inventory Levels and No-Production Time [05:49] Project Management (PERT): Calculating project completion probabilities within deadlines [06:38] Finding the Expected Time ($t_e$) and Variance ($\sigma^2$) on the Critical Path [08:29] Calculating the Z-score and using Normal Distribution areas for probability [10:46] Queueing Theory: Calculating system wait times ($W = 1 / (\mu - \lambda)$) [11:52] Adjusting Arrival Rates ($\lambda$) and Service Rates ($\mu$) during a shortage [13:10] Transportation Problem: Step-by-step North-West Corner Method [16:19] Transportation Problem: Solving using the Least Cost Method [18:00] Vogel's Approximation Method (VAM): Calculating Row & Column Penalties [20:08] VAM: Balancing matrices with Dummy columns for Unbalanced problems [22:19] Calculating Optimal Transportation Costs using the MODI method ($U_i + V_j = C_{ij}$) [26:01] Assignment Problem: Allocating rooms to minimize total preference ranks [29:40] Assignment Problem (Hungarian Method): Finding minimum travel time for a salesperson [32:03] Hungarian Method: Maximizing Sales Revenue by inverting matrix values [35:44] Linear Programming (LP): Finding decision variables from a final Simplex table [39:52] LP Dual Conversion: Converting Primal Constraints into Dual Objective Functions [43:25] Final Assignment Problem: Finding minimum days required using the Hungarian Method Join this channel to get access to our membership program:    / @mininggyan   GATE 2027 EKLAVYA COURSE LINK: https://oeslt.courses.store/541270 With 50k registered aspirants, 30k app downloads, and 4000+ selections, Mining Gyan is India's #1 trusted brand for Mining Exam preparation, enabling the highest numbers of students to succeed. Our Achievements GATE MN 2026 🏆 7 in Top 10 🎯 13 in Top 20 🥇 65+ in Top 100 🥈 135+ in Top 200 🎉 350+ GATE Qualified GATE MN 2025 🏆 7 in Top 10 🎯 14 in Top 20 🥇 65 in Top 100 🥈 140 in Top 200 🎉 370+ Qualified GATE MN 2024 🎯 12 in Top 20 🥇 60+ in Top 100 🥈 135+ in Top 200 🎉 300+ Students Qualified GATE MN 2023 🥇 20 in Top 100 🥈 60 in Top 200 🎉 150+ Students Qualified Other Exam Results 💥 190+ Selections in SECL MS Exam 2024 🎯 120+ Selections in NCL MS Exam 2023 🏆 11 Selections out of 33 in UPPSC Mining Inspector Exam 2023 Join our Telegram Community: [Telegram Link](http://t.me/Mininggyan004) Contact Us: 📞 +91 9238620638 Stay connected with us on social media: 📸 Instagram: (  / mininggyan  ) 👍 Facebook: [facebook.com/profile.php?id=61558187134471) #gatemining #gate2026 #gate2027 #gatemn #miningsirdar #overman Mining,YouTube,Viral,Mineral,study,gate mining,gate 2027