Problem 2 (Warehouse management) (5 points)

• A warehouse is 200' long and 100' wide with three docks located as shown in the following figure, where the distance between rows of storage locations is negligible.
• Storage spaces of 8000 and 12000 square feet are required for A and B, respectively.
• The warehouse is arranged into bays of 20' by 20' (400 sq. ft) and only one type of product can be stored in a given bay. Assume rectilinear travel.
• Two products A and B are to be stored.
• Product A enters the warehouse at dock 1 at a rate of 600 pallet loads per month, and is shipped from docks 2 and 3 at rates of 120 and 480 pallet loads per month, respectively.
• Product B enters the warehouse at dock 1 at a rate of 1000 pallet loads per month and is shipped from docks 2 and 3 at rates of 200 and 800 pallet loads per month respectively.
• Hints: Find the following
• TA= (2-way trip) = 2*600 = 1,200,TB = ?,
• SA = 8,000/400 = 20,SB = ?TA/SA=?TB/SB=? What is the Product Sequence?
• Hints: Find the followingProd BProd A
• Total distant travelled = [(1000+200+800)+ (600+120+480)]
• Dock 1: p₁ = (1,000 + 600) /[(1000+200+800)+ (600+120+480)] =?
• Dock 2: p₂ = (120+200) /[(1000+200+800)+ (600+120+480)] =?
• Dock 3: p₃ = ?
• Answer the following questions:
• 2a) Determine the order in which products should be assigned storage locations.
• 2b) Find the expected distance traveled between storage location 1 (left-top cell) and the docks.