a kanban milk-run coordinated milk-run application

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    Problem Definition

    A material supply system design that serves assembly lineswill be designed.

    Delivery of parts to the stations of an assembly line must

    occur on a JIT basis: our problem is called JITVRP.

    This material supply system called: Milk-run System A single central warehouse

    Stations of the line have a continuous demand rate (Qi)!

    At all times, theressome demand of components to be satisfied.

    Service of the milk-run system is periodic.

    We must find the service period!

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    Problem Definition

    Ex: Qi=10 parts/hr

    If service period=2 hrs, Delivery to stat-i=20 partsat each cycle.

    If period=4 hrs, delivery to stat-i=40 parts

    So as period increases, delivery quantitiesincrease!

    But, vehicle capacity is limited. Therefore, service period affects route

    construction!

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    Activities in a Milk-Run Cycle

    When a station starts to consume parts from acontainer, it issues a Kanban, indicating itsrequirement of one full container.

    The vehicle collects all of the Kanbans & emptycontainers released by stations.

    Then kanbans are scanned in Barcode station.

    Orders sent to the Warehouse. Vehicle goes to the Warehouse by holding

    Kanbans & empty conts.

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    Activities in a Milk-Run Cycle

    Vehicle collects full containers from the warehouse &

    starts delivering the full containers to the stations

    assigned to its route.

    While delivering the full containers at a station's bufferarea, the vehicles also pick up the empty containers

    where the Kanbans are attached.

    By the end of the route, the vehicle returns to the

    warehouse holding the empty containers with Kanban.

    Full containers must be delivered to the buffer, until

    the buffer stock is exhausted.

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    Route Construction Example

    Stations Demand Rate Period Deliveries Routes

    1 10/hr 1 hr 10 A

    2 5/hr 5 A

    3 7/hr 7 A

    4 5/hr 5 B

    5 3/hr 3 A

    6 20/hr 20 B

    Vehicle/route capacity= 25 (fixed!).

    Stations Demand Rate Period Deliveries

    1 10/hr 1.5 hr 15 A

    2 5/hr 7.5 A

    3 7/hr 10.5 B

    4 5/hr 7.5 B

    5 3/hr 4.5 B

    6 20/hr 30 C

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    Route Construction Algortihm

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    Objective of RCA

    Construct routes & determine service

    period, such that total material

    handling & inventory holding cost isminimized!

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    Constraints

    Trip time of a route= Loading unloading times

    spent in the stations + material transportation

    times

    Trip time of a route

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    Route

    Construction

    Algorithm (RCA)

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    Candiate Service Times & Costs

    2 routes: V=1, V=2

    0.75 hr service periodminimized total cost!

    Unit material handling

    cost (UMHC) is $4/h.

    UIHC for the parts ofthe stations 1, 3, 4, 5,

    6, 7, 8, 9, 10, 11, 12, 13are $2/h per container.

    UIHC of panel parts ofstation 2 is $10/h perpallet.

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    Constructed Routes

    Stations 1-13 : First route. The total of the delivery quantities to these stations does

    not violate the milk-run vehicle capacity, and there is nobuffer space violation.

    Station 2: Panel component: Second route. Panel component: a great volume in one pallet could not

    be included in the 1st route, and a second route had to beconstructed.

    Moreover, since the panel parts are fragile, the pallets

    of these are wished to be pulled by the tow truckprivately, and could not be appended to the milk-runtrailers.

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    Service/Stop Points of Routes

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    Constructed Routes