(Lot sizing) The demand for a product is known to be dt units in periods t...

(Lot sizing) The demand for a product is known to be dt units in periods t = 1,...,n. If we produce the product in period t, we incur a machine setup cost ft which does not depend on the number of units produced plus a production cost pt per unit produced. We may produce any number of units in any period. Any inventory carried over from period t to period t + 1 incurs an inventory cost it per unit carried over. Initial inventory is s0. Formulate a mixed integer linear program in order to meet the demand over the n periods while minimizing overall costs.

Expert Solution

Answer :-

Lot sizing involves determining the amount of an item that needs to be manufactured. There are two basic approaches to lot sizing. Static lot sizing involves manufacturing the same quantity of items regularly, and usually results in a large safety stock of inventory.

Colby Messinger answered 5 months ago

Item LLC Leadtime Lot Sizing Rule Skate 1 1 Lot for Lot Lace

Item LLC Leadtime Lot Sizing Rule Skate 1 1 Lot for Lot Lace 1 1 FOQ = 500 Box 1 2 FOQ = 500 Board 1 2 Lot for Lot Wheel Assembly 2 1 FOQ = 800 Body 2 2 Lot for Lot Axle 2 1 Lot for Lot Hardware 2 3 FOQ = 1500 BOM Draw Product Structures Here Boxed Skates Skates (2) Body Axle (2) Hardware Wheel Assembly (2) ...

How important is lot sizing? How should managers choose an Appropriate lot size? Should it be...

How important is lot sizing? How should managers choose an Appropriate lot size? Should it be chosen strictly on economic basis, or should intangible factors be considered.

Units of a manufactured product that are to be inspected are known to be subject to...

Units of a manufactured product that are to be inspected are known to be subject to three types of defects. Six percent of the units have surface finish flaws, 4% have improperly fixed ground wires, and 3% have base mounts that are not level. It is known that .25% of the units have all three defect types and .50% have surface finish flaws and improperly fixed ground wires. In addition, we know that .50% have the combination of only surface...

Daily demand for a product is 100 units, with a standard deviation of 35 units. The...

Daily demand for a product is 100 units, with a standard deviation of 35 units. The review period is 10 days and the lead time is 5 days. At the time of review there are 40 units in stock. If 95 percent service probability is desired, how many units should be ordered? (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final...

Daily demand for a product is 90 units, with a standard deviation of 20 units. The...

Daily demand for a product is 90 units, with a standard deviation of 20 units. The review period is 10 days and the lead time is 8 days. At the time of review there are 70 units in stock. If 99 percent service probability is desired, how many units should be ordered? (Use Excel's NORMSINV() function to find the correct critical value for the given ?-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final...

L1 di2 dt + Ri2 + Ri3 = E(t) L2 di3 dt + Ri2 + Ri3...

L1 di2 dt + Ri2 + Ri3 = E(t) L2 di3 dt + Ri2 + Ri3 = E(t). Solve the system in part (a) if R = 10 Ω, L1 = 0.01 h, L2 = 0.05 h, E = 200 V, i2(0) = 0, and i3(0) = 0. i2(t) = i3(t) =

what is the value of ∫∞−∞ δ(t+2)e^(−2t)u(t)dt?

Problem 2. The annual demand for a product is 15,600 units. The weekly demand is 300...

Problem 2. The annual demand for a product is 15,600 units. The weekly demand is 300 units with a standard deviation of 90 units. The cost to place an order is $31.20, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.10 per unit. Find the reorder point necessary to provide a 98 percent service probability. Suppose the production manager is asked to reduce the safety stock of this time by 50 percent....

Stylez Corp. has a monthly demand of 2,000 units for a product. The product is used...

Stylez Corp. has a monthly demand of 2,000 units for a product. The product is used at a constant rate over the 365 days. The annual holding cost for the product is estimated to be $4.00 per unit and the cost of placing each order is $150.00. Current order quantity ( lot size) is 1000 units. 1) What is the total annual inventory cost for Stylez Corp, if it orders as per EOQ? 2) What is the extra cost, if...

Consider the following macroeconomic model: C(t) + I(t) = Y (t) I(t) = 0.8 dC(t) dt...

Consider the following macroeconomic model: C(t) + I(t) = Y (t) I(t) = 0.8 dC(t) dt C(t) = 0.4Y (t) + 1 where C(t), I(t), Y (t) denote respectively the consumption, investment and national income at time t. Write the differential equation in terms of C(t), find the solution for the differential equation, and draw the phase diagram and comment on the stability.

Question