Indices |
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Blood types
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The candidate location for establishing blood collection centers |
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Hospitals |
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Permanent blood centers |
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Temporary blood centers |
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Time periods |
Parameters |
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Blood holding cost at permanent blood center i
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Blood holding cost at temporary blood center
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Blood holding cost at hospital
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Demand for blood type in hospital at period ood holding cost at h |
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Available inventory of blood type in collection center
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Available inventory of blood type in temporary blood center
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Travel time from collection centers to temporary blood center
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Travel time from temporary blood center to hospital
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Travel time from collection centers to permanent blood center i
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Travel time from permanent blood center i to hospital
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Travel time from temporary blood center to permanent blood center i
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Transportation cost from temporary blood center to hospital
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Transportation cost from collection center to temporary blood center
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Transportation cost from permanent blood center i to hospital
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Transportation cost from collection center to permanent blood center i
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Transportation cost from temporary blood center to permanent blood center i
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The operation cost of a unit of blood in a temporary blood center
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The operation cost of a unit of blood in a permanent blood center i
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Operation time per unit of blood in all collection centers |
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Fixed cost for establishing a collection center |
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Rate at which process is redirected from temporary blood centers to permanent centers |
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The time required to substitute a unit of blood type with blood type at hospital
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Maximum capacity for transportation between centers |
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Operation cost of a unit of blood in a collection center |
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Operation time per unit of blood at temporary blood center
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Operation time per unit of blood at permanent blood center i
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Blood storage capacity of temporary blood center
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Blood storage capacity of permanent blood center i
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Blood storage capacity of hospital
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Maximum number of collection centers to be opened |
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Substitution priority for using blood type b instead of blood type
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1 if blood type can substituted by blood type , 0 otherwise |
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A big number |
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Blood lifespan |
Decision Variables |
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Amount of blood type expired in hospital at period
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Amount of blood type expired in temporary center at period
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Amount of blood type expired in permanent center i at period
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Amount of blood type transferred from temporary center to permanent center i at period
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Amount of blood type transferred from temporary center to hospital at period
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Amount of blood type transferred from permanent center i to hospital at period
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Amount of blood type processed at temporary center at period
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Amount of blood type tested at permanent center i at period
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Amount of blood type stored at permanent center i at period
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Amount of blood type stored at temporary center at period
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Amount of blood type stored at hospital at period
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Amount of blood type substituted with blood type at hospital at period
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1 if blood transfer is opened from permanent center i to hospital at period , 0 otherwise |
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1 if collection center is allocated to temporary center at period , 0 otherwise |
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1 if collection center is allocated to permanent center i at period , 0 otherwise |
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1 if a collection center is opened in location at period , 0 otherwise |
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1 if blood transfer is opened from temporary center to hospital at period , 0 otherwise |
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1 if blood transfer is opened from temporary center to permanent center i at period , 0 otherwise |
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