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IE652 Production Planning and Control

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<strong>IE652</strong> <strong>Production</strong><strong>Planning</strong> <strong>and</strong> <strong>Control</strong>Instructor: Dr. Rıfat Gürcan Özdemir, Assist. Prof.http://web.iku.edu.tr/~rgozdemir/index(ie_652).htmCourse MaterialsText Books1. “<strong>Production</strong> <strong>Planning</strong>, <strong>Control</strong> <strong>and</strong> Integration”,D. Sipper <strong>and</strong> R. Bulfin, McGraw-Hill, 1997.Lecture notes1. “pdf files of Power Point Slides” (will be given via internet)Software“GAMS LP Solver”2


Course TopicsPART I – Aggregare <strong>Production</strong> <strong>Planning</strong>(APP)Chapter 1:Spread Sheet <strong>and</strong> Transportation Methods forAPPChapter 2:Linear Programming Models for APP3Course TopicsPART II – Inventory managementChapter 3:Inventory Management <strong>and</strong> EOQ ModelsChapter 4:Quantity Discount <strong>and</strong> Multi Item InventoryModelsChapter 5:Dynamic Lot Sizing TechniquesChapter 6:Sthocastic Inventory ModelsChapter 7:Material Requirements <strong>Planning</strong> (MRP)4


Course TopicsPART III – Job schedulingChapter 8:Scheduling <strong>and</strong> SequencingChapter 9:Single Machine SchedulingChapter 10:Parallel Machine, Flow Shop <strong>and</strong> Job ShopScheduling5Grading• Exams (85% of total grade)Quizzes (15%)Midterm (30%)Final (35%)• Assignments (15% of total grade)• Participation (5% of total grade)6


<strong>IE652</strong> - Chapter 1Spread Sheet <strong>and</strong>Transportation Methods for APP<strong>Production</strong> <strong>Planning</strong> Horizons8


<strong>Production</strong> <strong>Planning</strong> Decisions9Aggregate <strong>Production</strong> <strong>Planning</strong>• Step 1. Aggregation: Different products areaggregated into a common unit.• Step 2. <strong>Planning</strong>: Dem<strong>and</strong> fluctuations areabsorbed by: Changing the size of the workforce (hiring & layingoff), Varying the production rate (introduction of overtime<strong>and</strong>/or idle time, relying on outside subcontracting), Accumulating seasonal inventories, Resorting to planned backlogs whenever customersmay accept delays in filling their orders, Shifting the dem<strong>and</strong> to another period.or a combination of these decisions10


Costs relevant to aggregateproduction planning1. Basic production costs• Material• Direct labor• Overhead= fixed cost (setup cost) + variable cost2. <strong>Production</strong> rate change costs• Hiring personnel• Training personnel• Laying off personnel• Overtime compensations• Subcontracting11Costs relevant to aggregateproduction planning3. Inventory related costs• Inventory holding cost(= cost of capital tied up in inventory + storing +insurance + taxes + spoilage + obsolescense)• Shortage cost(very difficult to measure; loss of customergoodwill <strong>and</strong> loss of sales revenues resultingfrom the shortage situation)12


Approaches for APP• Spread Sheet Method Trial <strong>and</strong> Error approach Easily implemented with a spread sheet Zero inventory / Level production / Mixed plan• Transportation Method• Linear Programming Models13Example• Last year, Precision made 41,383 gears of various kinds.There were 260 working days <strong>and</strong> average of 40 workers.• Forecast dem<strong>and</strong>s over the next six months for aggregateunit are as follows:Month Jan. Feb. March April May June TotalDem<strong>and</strong> 2760 3320 3970 3540 3180 2900 19,670Working days 21 20 23 21 22 22 129• Inventory holding cost is $5 per gear per month. Newworkers can be hired at a cost of $450 per worker.Workers can be laid off at a cost of $600 per worker.There is a $15/unit/month backorder cost.• Wages <strong>and</strong> benefits for a worker are $15 per hour, allworkers are paid for eight hours per day, <strong>and</strong> there arecurrently 35 workers at Precision.14


Zero Inventory Plan41,383 gears/yearUnits/worker-day = 4 gears/worker-day10,400 worker-days/yearWorkers needed =dem<strong>and</strong>/monthdays/month x units/worker-day15Zero Inventory Plan16


Zero Inventory Plan17Level (Fixed) Workforce PlanFixed # of Workers =Total dem<strong>and</strong>Total # of days x units/worker-dayFixed # of Workers =19,670129 x 4= 38.12 39 workers18


Level (Fixed) Workforce Plan19Level (Fixed) Workforce Plan20


Mixed Plan21Mixed Plan22


Mixed Plan23Transportation Model• A production planning problem with constantwork force can be solved as a transportationproblem.24


25Solution26


Extensions• Suppose 90 cases could be made on overtimein periods 1 <strong>and</strong> 2, 75 cases in period 3 at costsof $16, $18, $20 per case, respectively.• Suppose units are backordered at a cost of $5per unit-month.• Dem<strong>and</strong> of period 1 increased to 400 units.27Solution28

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