Manuscript Title: A Bilevel Model for Robust Network Design and Biomass Pricing under

Farmers’ Risk Attitudes and Supply Uncertainty

Qiaofeng Li, Halit Uster, and Zhi-Hai Zhang.

Submitted for publication.

 

The links to the biomass logistics network data instances are given below.

Parameters and data for biomass logistics network design problem (rar file)

Please right click on the link and click “Save Link As” to save it on your machine.

 

Format:

1.      In this example data, we present the base class (biggest class) used in the case study (155 farms, 20 collection facilities and 5 biorefineries). 8 small-sized classes and 8 large-sized classes are selected from the base class. There are 10 instances under each class by by multiplying the values of cost parameters (c^s_{il}, c^I_{i}, c^1_{fi}, c^2_{ij}, c^h_{fn} and c^b_{f}) with a random number.

2.     The location values are given as lat-long coordinates. The Euclidean distance formula is used to calculate the distances between facilities.

3.      We have the following data files:

a.       Location data.xlsx: Location coordinates of farms, collection facilities and biorefineries

b.      Available land.xlsx: Available land for planting switchgrass in each farm

c.       Switchgrass yield.xlsx: Amount of switchgrass yield in each farm

d.     Transportation cost.xlsx: Transportation cost of one unit of switchgrass from farms to collection facilities and from collection facilities to biorefineries

e.       Unit production cost.xlsx: Unit production cost for switchgrass in farm

f.      Robust parameters.xlsx: Farmer group number for each farmer

g.      Other cost parameters.txt: Some other cost parameters

h.      Generation of 10 random instances.txt: Random numbers for generation of 10 random instances

4.      The legend for the input data format is given below:

 

Symbol

Detail

F

Farms

I

Collection facilities

J

Biorefineries

L

Capacity levels

K

Seasons

N

Harvesting strategies

E

Price levels

b_{f}

Available land for planting switchgrass in farm f

q_{fkn}

Amount of switchgrass yield in farm f at season k under harvesting strategy n

c^1_{fi}

Transportation cost of one unit of switchgrass from farm f to collection facility i

c^2_{ij}

Transportation cost of one unit of switchgrass from collection facility i to biorefinery j

c^c_f

Unit production cost for switchgrass in farm f

c^s_{il}

Fixed investment cost of opening and operating a collection facility of size l at location i

\alpha_{l}

Available inventory space for biomass of a collection facility with size l

c^h_{fn}

The mower-conditioner and rake costs for per hectare switchgrass in farm f under harvesting strategy n

c^b_{f}

The baling costs for per dry ton switchgrass in farm f

c^I_{i}

Holding cost of one unit of switchgrass for one season in collection facility i

p_{e}

Price of unit switchgrass at price level e

d_{jk}

Amount of switchgrass demanded in biorefinery j at season k