Simulation with Promodel

Simulation with Promodel

 

Coffee and Cupcakes

(1) Customers come in for cupcakes (mean inter-arrival time 5 min exponentially distributed). They pick up one more (uniformly distributed between 2 and 12) cupcakes from the store shelf. It takes an average of 3 min (Normally distributed with a std. deviation of 1 min) to decide on a cupcake and pick up. A Kanban is attached to each cupcake.
(2) The checking out process by the cashier takes N(5,2) min. The cashier collects all the M- kanbans and returns them to the storage room.
(3, 5) The storage room associate detaches the P-kanban from a fresh cupcake and sends the P-kanban back to the kitchen. The storage room associate also attaches the M-kanban to a fresh cupcake. The detaching of the P-kanban and attaching the M-kanban takes an average of N(2,1) min. The storage room associate then moves the cupcake from the storage room to the shelf (move time N(2,1) min).
(6) The baking staff in the kitchen on receiving the P-kanban produces another fresh cupcake. Time to bake a cupcake N(4,1) min. The P-kanban is attached to this fresh cupcake.
(7) The packer in the kitchen puts the cupcake in a decorative box. Time to box and wrap is N(3, 1) min. Then the packer moves this cupcake (with the P-kanban attached) to the storage room (move time N(2,0.5) min).
Try various combinations of numbers of M (12 ~36) and P kanbans (12 ~ 36) and analyze how they affect the performance of the store. What would be the ideal # of M- and P-kanbans and why?
MOVE and Production Kanbans

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